λ
Sigma Notebook

459,617

461 × 997
Deficient Odd Composite

459,617 is odd and not a perfect square. Its factorization is 461 × 997 and its 4 divisors sum to 461,076.

Prime Factor Structure

Factorization String 461 × 997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 461,076
Proper Divisor Sum 1,459
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #459611 ← → #459619

Radix Representation

Decimal 459617
Binary 1110000001101100001 (19 bits)
Octal 0o1601541
Hexadecimal 0x70361

Divisor Catalog (4)

1 461 997 459,617

Collatz Trajectory (169 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

459,617 1,378,852 689,426 344,713 1,034,140 517,070 258,535 775,606 387,803 1,163,410 581,705 1,745,116 872,558 436,279 1,308,838 654,419 1,963,258 981,629 2,944,888 1,472,444 736,222 368,111 1,104,334 552,167 1,656,502 828,251 2,484,754 1,242,377 3,727,132 1,863,566 931,783 2,795,350 1,397,675 4,193,026 2,096,513 6,289,540 3,144,770 1,572,385 4,717,156 2,358,578 1,179,289 3,537,868 1,768,934 884,467 2,653,402 1,326,701 3,980,104 1,990,052 995,026 497,513 1,492,540 746,270 373,135 1,119,406 559,703 1,679,110 839,555 2,518,666 1,259,333 3,778,000

More profiles

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